Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel
American Journal of Applied Mathematics
Volume 2, Issue 1, February 2014, Pages: 14-20
Received: Nov. 5, 2013; Published: Feb. 20, 2014
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Authors
Hassan Anthony Rotimi, Dept. of Mathematics, Tai Solarin University of Education, Ijagun, Ogun State, Nigeria
Gbadeyan Jacob Abiodun, Dept. of Mathematics, University of Ilorin, Ilorin, Nigeria
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Abstract
This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using Adomian Decomposition Method (ADM) together with Pade Approximation technique to determine the thermal stability of the fluid flow and important properties of temperature fields including bi-furcations and thermal criticality conditions are discussed.
Keywords
Thermal Stability, Adomian Decomposition Method (ADM), Pade Approximation, Chemical Kinetics and Hydromagnetic Fluid Flow
To cite this article
Hassan Anthony Rotimi, Gbadeyan Jacob Abiodun, Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel, American Journal of Applied Mathematics. Vol. 2, No. 1, 2014, pp. 14-20. doi: 10.11648/j.ajam.20140201.13
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